What Are Linear Quadratics? A system that contains one linear equation and one quadratic equation that is commonly one parabola and one straight line. A simple linear system holds two linear equations and those are two straight lines. Linear functions are graphed as straight lines because the x variable is not raised to any exponent. They are like the flat bridge. Quadratic functions are typically in the form y = ax2 + bx + c. A linear equation in two variables does not include any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. A quadratic equation, instead, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c.

• ### Basic Lesson

Guides students solving equations that involve an Linear Quadratics. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. Example: David is traveling on a highway at a constant rate of 50 miles per hour. Sam accelerates at a constant rate to catch David. The distance d, in miles, that Sam travels as a function of time t, in hours, since David has passed is given by d = 2800 t2. Write and solve a system of equations to calculate how long it takes Sam to catch up David.

• ### Independent Practice 1

The range of a lighthouse is a circular region bounded by equation: x2 + y2 = 36. A straight road within the service area is represented by y = 3x + 2. Find the length of the road that lies within the range of the light service. (Assume 1 unit=1 km. Express the answer to the nearest tenth of a mile).

• ### Independent Practice 2

Students find the Linear Quadratics in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Linear Quadratics.

• ### Skill Quiz

This tests the students ability to evaluate Linear Quadratics.